CHERN CLASSES FROM MORAVA K-THEORIES TO P N $P^N$ upper P Superscript upper N-TYPICAL ORIENTED THEORIES
Year: 2026
Type: article
Abstract: We study non-additive operations from algebraic Morava K-theories to oriented cohomology theories in algebraic geometry. For oriented cohomology theory A $A$ upper A that has a p n $p^n$ p Superscript n -typical formal group law over a Z ( p ) $\mathbb {Z}_{(p)}$ double struck upper Z Subscript left parenthesis p right parenthesis -algebra we construct ‘Chern classes’ from the algebraic n $n$ n -th Morava K-theory with p $p$ p -local coefficients to A $A$ upper A . If the coefficient ring of A $A$ upper A is a free Z ( p ) $\mathbb {Z}_{(p)}$ double struck upper Z Subscript left parenthesis p right parenthesis -module we also prove that these Chern classes freely generate all operations from
Author: Pavel Sechin
Institution: University of Regensburg
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
OpenAlex ID: W7214114925